In his second season, he helped the Baltimore Colts win Super Bowl V. He is the founder of Coaches Outreach, a non-profit Christian organization that aims to spiritually develop high school coaches and their spouses.

In the 1967 season, he helped the Aggies win a Southwest Conference (SWC) title after a 0–4 start.

The Aggies were invited to play the Cotton Bowl Classic, in which they defeated Alabama Crimson Tide.

Maxwell played 6 years in the NFL for the Oakland Raiders (John Madden) and Houston Oilers (Bum Phillips).

Tommy also played for the Oakland Raiders (John Madden-'71-73) and Houston Oilers (Bum Phillips- '74).